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-   -   board pairing (http://archives2.twoplustwo.com/showthread.php?t=29240)

ZEN MASTER 02-17-2003 09:40 PM

board pairing
 
is the board in holdem favored to pair or not. If it is? by how much. Wopuld You please wlk me thrugh Your calculations. Thank You

BruceZ 02-18-2003 01:13 AM

Re: board pairing
 
The board is a slight favorite to be unpaired in 5 cards. The number of unpaired boards counting every order the cards can occur in is 52*48*44*40*36. The number of total boards is 52*51*50*49*48. The ratio is 50.7% unpaired boards.

morgan 02-20-2003 02:29 AM

Re: board pairing
 
If the flop is unpaired then the chance the board will remain unpaired at the river is 61.2%. The calculation is the same as Bruce's, just with the last two numbers: 40*36 / 49*48

Morgan


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